Framework constructs geometrically optimal witnesses enabling universal detection of bipartite, multipartite, and high-dimensional entanglement with enhanced noise robustness and improved computational efficiency.

Framework constructs geometrically optimal witnesses enabling universal detection of bipartite, multipartite, and high-dimensional entanglement with enhanced noise robustness and improved computational efficiency.
Novel methods for certifying quantum properties via trace powers: detects entangled states, non-Hermitian operators, and non-positive matrices. Algorithms achieve 99.8% success with minimal computational cost, implementable on NISQ devices.